Proves Minkowski flux backgrounds preserve supersymmetry and relate to special holonomy.
problem Relating Minkowski flux backgrounds to special holonomy manifolds.
method Introducing Kosmann-Dorfman bracket and Killing superalgebra.
result Generic Minkowski flux backgrounds preserving N supersymmetries correspond to integrable generalised G_N structures.
Extends Penrose's method to null shells with pressure and energy flux.
problem Constructing null thin shells with arbitrary gravitational/matter content.
method Derive locally Lipschitz metric and coordinate transformation.
result Example of null shell with non-trivial energy density, flux, and pressure in Minkowski space.
We show that the complex cohomologies of Bott, Chern, and Aeppli and the symplectic cohomologies of Tseng and Yau arise in the context of type II string theory. Specifically, they can be used to count a subset of scalar moduli fields in Minkowski compactification with RR fluxes in the presence of either O5/D5 or O6/D6 …
We present a comprehensive classification of supersymmetric vacua of M-theory compactification on seven-dimensional manifolds with general four-form fluxes. We analyze the cases where the resulting four-dimensional vacua have N = 1,2,3,4 supersymmetry and the internal space allows for SU(2), SU(3) or G_2 structures. In…
New supersymmetric vacua found on special geometric spaces.
problem Finding new supersymmetric vacua in type II supergravities.
method Using flux vacua on four-dimensional Minkowski times six-dimensional solvmanifolds, with localized orientifold planes and D-branes.
result Discovered new supersymmetric vacua not T-dual to torus vacua.
Study of string theory flux compactifications using generalized geometry.
problem Characterizing generic Minkowski flux compactifications in string theory.
method Using E7(7)×R^+ generalized geometry, analyze involutive subbundles and moment maps.
result Counted massless scalar moduli of GMPT solutions using generalised geometry cohomology.
The definition of quasi-local mass for a bounded space-like region in space-time is essential in several major unsettled problems in general relativity. The quasi-local mass is expected to be a type of flux integral on the boundary two-surface and should be independent of whichever space-like region it bounds. An impor…
Bayesian analysis uncovers flux couplings in metabolic networks.
problem Uncertainty and unrealistic assumptions in traditional flux analysis methods.
method Introduces Bayesian metabolic flux analysis to model reactions probabilistically and infer flux distributions.
result Reveals informative flux couplings and more unobserved fluxes in metabolic networks.
Proves non-vanishing CMC flux for specific manifolds.
problem Proving non-vanishing CMC flux for certain manifolds.
method Analyzes Riemannian manifolds with constant mean curvature.
result Non-vanishing CMC flux for specified manifolds.
Study introduces a probabilistic framework for air-sea fluxes using neural networks.
problem Accurately quantifying air-sea fluxes for understanding interactions and improving weather/climate models.
method Gaussian distributions conditioned on input variables, artificial neural networks, eddy-covariance data, minimizing negative log-likelihood loss.
result Trained neural networks provide alternative mean flux estimates and quantify uncertainty.
Unified description of fluxes and T-duality via symplectic manifolds.
problem Unified description of fluxes and T-duality.
method Using supergeometric methods on QP-manifolds and twist of Courant algebroids.
result Unified expressions of NS, F, Q, and R-fluxes in terms of beta- and B-potentials.
Derives fluxes in M-theory compactifications and connects them to threebrane sigma-models.
problem Deriving fluxes in M-theory compactifications and understanding their geometric and topological properties.
method Systematic derivation of fluxes from higher Courant brackets and generalized geometry, relating them to threebrane sigma-models.
result Fluxes in M-theory compactifications are understood as generalized Wess-Zumino terms in threebrane sigma-models, linking higher structure to Lie algebroid homotopy.
11D supergravity completes with quantized C-field flux.
problem Completing 11D supergravity with quantized C-field flux.
method Duality-symmetric formulation of on-shell 11d supergravity on superspace.
result 11d super-spacetimes are quantizable by duality-symmetric super-C-field flux.
Analyzes quantization of flux observables in gauge theories.
problem Lifting Poisson-brackets of flux observables to higher moduli stacks.
method Systematic analysis of canonical quantization and flux quantization laws.
result Topological quantum observables form homology Pontrjagin algebra of loop space.
We study the flux homomorphism for closed forms of arbitrary degree, with special emphasis on volume forms and on symplectic forms. The volume flux group is an invariant of the underlying manifold, whose non-vanishing implies that the manifold resembles one with a circle action with homologically essential orbits.
Novel gravity theory on Poisson manifolds with R-flux.
problem Developing a gravity theory on Poisson manifolds with R-flux.
method Constructing a gravity theory based on Poisson Generalized Geometry, coupling R-fluxes with the theory.
result The Einstein-Hilbert action coupled with an R-flux is invariant under β-diffeomorphisms and β-gauge transformations.
M5-branes' flux quantization linked to non-abelian cohomology.
problem Flux quantization on M5-branes and its implications.
method Analogous to Dirac's charge/flux quantization, constraining M5's flux-quantization law to non-abelian cohomology theory.
result Skyrmion-like and anyonic solitons on M5-branes and open M5-branes.
Study on Euler class and flux homomorphisms for non-orientable surfaces.
problem Investigate Euler class and flux homomorphisms for non-orientable surfaces.
method Analyze Euler class and flux homomorphisms for non-orientable compact surfaces with one boundary component.
result Prove the simplicity of the kernel of the flux homomorphisms, implying the non-existence of invariants analogous to the Calabi invariant.
It is known that the topological T-duality exchanges H and F-fluxes. In this paper, we reformulate the topological T-duality as an exchange of two Lie algebroids in the generalized tangent bundle. Then, we apply the same formulation to the Poisson-generalized geometry, which is introduced in arXiv:1408.2649 to defi…
FLUXtrapolation benchmarks machine learning for extrapolating ecosystem fluxes under distribution shifts.
problem Machine learning challenges in extrapolating ecosystem fluxes under distribution shifts.
method Defined temporal, spatial, and temperature-based extrapolation scenarios; evaluated performance across domains, temporal aggregations, and tail errors.
result Baselines perform similarly under median hourly RMSE but differ under tail-focused and multi-scale evaluations.
Combines machine learning and convex limiting for accurate subgrid flux modeling in shallow-water equations.
problem Accurate subgrid flux modeling in shallow-water equations.
method Machine learning and flux limiting for property-preserving subgrid scale modeling.
result The proposed method produces meaningful closures even in untrained scenarios.
We compute the flux of Killing fields through ends of constant mean curvature 1 in hyperbolic space, and we prove a result conjectured by Rossman, Umehara and Yamada : the flux matrix they have defined is equivalent to the flux of Killing fields. We next give a geometric description of embedded ends of finite total cur…
New method for flux quantization on phase space stacks.
problem Defining and constructing flux-quantized phase space stacks.
method Observation of flux densities and characterization of Cauchy data.
result Flux-quantized phase space stacks have classifying spaces with rational Whitehead L-infinity algebra.
New correspondence links fluxless to fluxy flag manifolds via T-duality.
problem Understanding fluxes on flag manifolds.
method Defining a new correspondence and using infinitesimal T-duality.
result Infinitesimal T-duality generates nontrivial fluxes.
Paper studies flows of spinor fields with flux for unified theories.
problem Existence of covariantly constant spinors in unified theories.
method Introduces parabolic flows of spinor fields to find stationary points.
result Establishes short-time existence and smoothing estimates for spinor flows.
Machine learning and deep learning infer surface/groundwater exchange from temperature data.
problem Inferring surface/groundwater exchange from temperature data with high temporal resolution.
method Application of machine learning and deep learning algorithms to infer surface/groundwater exchange flux from subsurface temperature observations.
result DL methods outperform ML methods in interpreting noisy temperature data, especially with a smoothing filter.
Study on flux homomorphism and its extension in symplectic group of a disk.
problem Understanding the flux homomorphism and its extension in symplectic group.
method Defined and analyzed the flux homomorphism and its extension, determined the Euler class, and investigated its relation to group 2-cocycle and Calabi invariant.
result Determined the Euler class of the flux extension and investigated its relation to group 2-cocycle and Calabi invariant.
Modernizes higher-dimensional supergravity, linking it to flux quantization.
problem Constructing infrared completions of higher-dimensional supergravity.
method Using differential nonabelian cohomology and super-torsion constraints.
result Equivalence of solutions in different dimensions and flux quantization.
Invariant r♯ predicts H-flux behavior under T-duality.
problem Predicting H-flux behavior under T-duality on product manifolds.
method Using r♯ invariant to analyze metric connections and T-duality effects. result Invariant r♯ detects irreducible H-flux components that survive T-duality. Study new ECS structures in 5D Minkowski compactifications of M-theory.
problem Characterize geometries of supersymmetric compactifications to 5D Minkowski space.
method Define and classify ECS structures, relate to hypermultiplet moduli.
result Classify ECSs and find their moduli, relating to hypermultiplet moduli.
New mathematical framework connects M-theory charges to stable homotopy groups.
problem Quantization of fluxes in M-theory and their mathematical representation.
method Establishing a correspondence between M-theory phenomena and stable homotopy theory concepts.
result Found a direct link between M-theory charges and stable homotopy groups.
On a closed symplectic surface Sigma of genus two or more, we give a new construction of an extended flux map (a crossed homomorphism from the symplectomorphism group Symp(Sigma) to the cohomology group H^1(Sigma;R) that extends the flux homomorphism). This construction uses the topology of the Jacobian of the surface …
We analyse the most general supersymmetric solutions of D=11 supergravity consisting of a warped product of five-dimensional anti-de-Sitter space with a six-dimensional Riemannian space M_6, with four-form flux on M_6. We show that M_6 is partly specified by a one-parameter family of four-dimensional Kahler metrics. We…
For a complete minimal surface in the Euclidean 3-space, the so-called flux vector corresponds to each end. The flux vectors are balanced, i.e., the sum of those over all ends are zero. Consider the following inverse problem: For each balanced n vectors, find an n-end catenoid which attains given vectors as flux. Here,…
The paper establishes T-duality for 2D σ-models with H-flux.
problem T-duality for 2D σ-models with H-flux.
method Localization and graded T-duality map (graded Hori morphism).
result Establishes the most general version of T-duality for Type II String Theory.
We prove the bounded isometry conjecture of F. Lalonde and L. Polterovich for a special class of closed symplectic manifolds. As a byproduct, it is shown that the flux group of a product of these special symplectic manifold is isomorphic to the direct sum of the flux group of each symplectic manifold.
New result on symplectomorphisms on surfaces, showing vanishing cup product of fluxes.
problem Understanding commuting symplectomorphisms on surfaces.
method Refinement of non-extendability result for Py's Calabi quasimorphism.
result Vanishing cup product of fluxes for commuting symplectomorphisms.
Researchers calculate exact moduli for type II flux backgrounds using spectral sequences.
problem Determining exact moduli of type II flux backgrounds in string theory.
method Using techniques from generalised geometry, they count infinitesimal deformations via a spectral sequence.
result The spectral sequence reproduces naïve expectations and shows all obstructions vanish, impacting the tadpole conjecture.
We classify and construct all the smooth Kaluza-Klein reductions to ten dimensions of the M2- and M5-brane configurations which preserve some of the supersymmetry. In this way we obtain a wealth of new supersymmetric IIA backgrounds describing composite configurations of D-branes, NS-branes and flux/nullbranes; bound s…
Survey para-Hermitian geometry and its applications in physics.
problem Capturing double field theory concepts on para-Hermitian manifolds.
method Geometric theory of Lagrangian and Hamiltonian systems, deformations of para-Kahler structures, non-linear connections, and weak integrability.
result Reproduce generalized fluxes in para-Hermitian geometry and describe their emergence.
We study massless deformations of generalized calibrated cycles, which describe, in the language of generalized complex geometry, supersymmetric D-branes in N=1 supersymmetric compactifications with fluxes. We find that the deformations are classified by the first cohomology group of a Lie algebroid canonically associa…
We exhibit a pseudo-Anosov homeomorphism of a surface S which acts trivially on the first homology group of S and whose flux is non zero
New insights into symplectic loops and their flux groups.
problem Understanding symplectic loops and their properties.
method Analyzing symplectic diffeomorphisms and their orbits.
result Flux of symplectic loops vanishes for contractible orbits.
The requirement of N=1 supersymmetry for M-theory backgrounds of the form of a warped product M×wX, where X is an eight-manifold and M is three-dimensional Minkowski or AdS space, implies the existence of a nowhere-vanishing Majorana spinor ξ on X. ξ lifts to a nowhere-vanishi…
We review the Reidemeister torsion, Ray-Singer's analytic torsion and the Cheeger-M"uller theorem. We describe the analytic torsion of the de Rham complex twisted by a flux form introduced by the current authors and recall its properties. We define a new twisted analytic torsion for the complex of invariant differentia…
10D IIA Superspace is put on shell by imposing duality-symmetric Bianchi identities on super-flux densities.
problem Dimensional reduction of 11D supergravity to 10D IIA
method Cyclification of 11D supergravity
result Full 10D IIA supergravity is put on shell with duality-symmetric Bianchi identities.
The ``Flux conjecture'' for symplectic manifolds states that the group of Hamiltonian diffeomorphisms is C^1-closed in the group of all symplectic diffeomorphisms. We prove the conjecture for spherically rational manifolds and for those whose minimal Chern number on 2-spheres either vanishes or is large enough. We also…
New geometry for 4D, N=2 supergravity backgrounds with fluxes.
problem Defining Calabi-Yau geometry for generic flux backgrounds.
method Integrable structures in generalized geometry, moment maps, and Killing spinor equations.
result Exceptional Calabi-Yau spaces for flux backgrounds.